English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The Lieb-Schultz-Mattis (LSM) theorem and its higher-dimensionalgeneralizations by Oshikawa and Hastings establish that a translation-invariantlattice model of spin-$1/2$'s can not have a non-degenerate ground statepreserving both spin and translation symmetries. Recently it was shown that LSMtheorems can be interpreted in terms of bulk-boundary correspondence of certainweak symmetry-protected topological (SPT) phases. In this work we discussLSM-type theorems for two-dimensional fermionic systems, which have no bosonicanalogs. They follow from a general classification of weak SPT phases offermions in three dimensions. We further derive constraints on possible gappedsymmetry-enriched topological phases in such systems. In particular, we showthat lattice translations must permute anyons, thus leading to"symmetry-enforced" non-Abelian dislocations, or "genons". We also discusssurface states of other weak SPT phases of fermions.

Fermionic Lieb-Schultz-Mattis Theorems and Weak Symmetry-Protected Phases